Hi, could anyone help me with this math problem? Thanks!!
The edge of a cube was found to be 10 cm with a possible error in measurement of 0.2 cm.
(a) Use differentials to estimate the maximum possible error in computing the volume of the cube.
(b) Use differentials to estimate the relative error in computing the volume of the cube.
(c) Use differentials to estimate the percentage error in computing the volume of the cube.
(d) Use differentials to estimate the maximum possible error in computing the surface area of the cube.
(e) Use differentials to estimate the relative error in computing the surface area of the cube.
(f) Use differentials to estimate the percentage error in computing the surface area of the cube.
2007-03-27 20:07:11 · 2 answers · asked by hello1212 1 in Science & Mathematics ➔ Mathematics
♠ v=x^3, dv=3x^2*dx; thus Δv=3*10*10*0.2 =±60 cm^3;
δv= Δv/v =60/(10^3)= ±0.06 = ±6%
♣ A=6*x^2, dA=6*2x*dx; thus ΔA=12*10*0.2 =±24 cm^2;
δA= ΔA/A =24/(6*10*10) =±0.04 = ±4%;
2007-03-28 03:24:53 · answer #1 · answered by Anonymous · 1⤊ 0⤋
(g) Use your brain to do your own homework
2007-03-27 20:10:11 · answer #2 · answered by blighmaster 3 · 1⤊ 3⤋